Pith Number

pith:IXJ5NH5Z

pith:2012:IXJ5NH5ZGT4RRZZGTNV4F2OPGL

not attested not anchored not stored refs pending

Tree-Loop Duality Relation beyond simple poles

German Rodrigo, Ioannis Malamos, Isabella Bierenbaum, Petros Draggiotis, Sebastian Buchta

arxiv:1211.5048 v1 · 2012-11-21 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXJ5NH5ZGT4RRZZGTNV4F2OPGL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:40:15.165437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d3d69fb934f918e7269b6bc2e9cf32ff0475d29ef8f516f8d41db621c3237e

Aliases

arxiv: 1211.5048 · arxiv_version: 1211.5048v1 · doi: 10.48550/arxiv.1211.5048 · pith_short_12: IXJ5NH5ZGT4R · pith_short_16: IXJ5NH5ZGT4RRZZG · pith_short_8: IXJ5NH5Z

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IXJ5NH5ZGT4RRZZGTNV4F2OPGL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 45d3d69fb934f918e7269b6bc2e9cf32ff0475d29ef8f516f8d41db621c3237e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "442576fe44f6013faf805e97008175ad89e0332856447f5bd5192f765d86ea76",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-11-21T14:44:29Z",
    "title_canon_sha256": "dcc2747018f3fb8e184cab1253fecdd0211bbc313fcafc572df07b1e8b1a55e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5048",
    "kind": "arxiv",
    "version": 1
  }
}